1020112200012 has 48 divisors (see below), whose sum is σ = 2396205504000. Its totient is φ = 337766623680.

The previous prime is 1020112200001. The next prime is 1020112200059. The reversal of 1020112200012 is 2100022110201.

1020112200012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020112200012² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753739 + ... + 1615037.

It is an arithmetic number, because the mean of its divisors is an integer number (49920948000).

Almost surely, 2^{1020112200012} is an apocalyptic number.

1020112200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020112200012 is an abundant number, since it is smaller than the sum of its proper divisors (1376093303988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020112200012 is a wasteful number, since it uses less digits than its factorization.

1020112200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861966 (or 861964 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020112200012 its reverse (2100022110201), we get a palindrome (3120134310213).

The spelling of 1020112200012 in words is "one trillion, twenty billion, one hundred twelve million, two hundred thousand, twelve".